3360468096 has 48 divisors (see below), whose sum is σ = 9670100310. Its totient is φ = 1120155648.

The previous prime is 3360468077. The next prime is 3360468143. The reversal of 3360468096 is 6908640633.

3360468096 is a `hidden beast` number, since 33 + 604 + 6 + 8 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2955009600 + 405458496 = 54360^2 + 20136^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3360468096² = 22585491648467730432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1457385 + ... + 1459688.

Almost surely, 2^3360468096 is an apocalyptic number.

3360468096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3360468096 is an abundant number, since it is smaller than the sum of its proper divisors (6309632214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3360468096 is a wasteful number, since it uses less digits than its factorization.

3360468096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917093 (or 2917078 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3360468096 is about 57969.5445557406. The cubic root of 3360468096 is about 1497.8440280078.

The spelling of 3360468096 in words is "three billion, three hundred sixty million, four hundred sixty-eight thousand, ninety-six".